Vertex Form
Factored Form
Standard Form
Axis of Symmetry
Max and Min
100
A change in this variable will transform (shift) the parabola along the x-axis.
What is the 'h' variable?
100
This is the variable that represents the left hand zero.
What is the 'r' variable?
100
This is where the parabola crosses the y-axis.
What is the y-intercept?
100
This structure is parallel with the axis of symmetry.
What is the y-axis parallel to?
100
This is another word for the maximum or minimum point on a parabola.
What is the vertex?
200
A change in this value will tranform (shift) your parabola along the y-axis.
What is the 'k' variable?
200
This variable represents the right hand zero.
What is the 's' variable?
200
We can use this method to generate a vertex form relation from a standard form relation.
What is Completing The Square?
200
The axis of symmetry is between these two points.
What are the zeros?
200
This is the direction of opening of a parabola with a maximum point.
What is opening down (or negative)?
300
This is the FULL vertex form relation.
What is a(x - h)^2 + k?
300
This is how you can find the axis of symmetry from the factored form.
What is (r + s) / 2 ? OR What is the sum of the zeros divided by 2?
300
We can use this method to find the zeros (x-intercepts) from a standard form relation.
What is factoring? OR What is the Quadratic Formula?
300
The axis of symmetry can also be described as this.
What is the x coordinate of the vertex?
300
This is the direction of opening of a parabola with a minimum point.
What is opening up (or positive)?
400
This method is used to get a quadratic equation from standard form to vertex form.
What is FOIL? (also accept distributive property).
400
We use the axis of symmetry to FIND this (from factored form).
What is the maximum or minimum value?
400
We can use this method to get back to standard form from factored form or vertex form.
What is expanding (FOILing) (Distributive Property)?
400
It's sometimes known as the optimum value. (There is no reflection in the axis of symmetry at this point.)
What is the vertex?
400
This is the variable that controls the direction of opening in all 3 forms of a quadratic relation.
What is the variable 'a' responsible for?
500
This is a quadratic relation that is stretched by 2, transformed 4 units to the right and transformed 7 units up.
What is 2(x-4)^2 + 7?
500
This is a quadratic relation that is compressed by 1/2, and has zeros of -2 and + 5.
What is -2(x + 2)(x - 5)?
500
This is the name for a standard form relation with no middle term. e.g. (x^2 - 9)
What is a difference of squares?
500
This is the equation of the axis of symmetry for the relation 2(x + 3)^2 - 5
What is x = -3?
500
A positive parabola with a vertex (1,1) has none of these.
What are zeros?
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